211416614112 has 48 divisors (see below), whose sum is σ = 605420307072. Its totient is φ = 64065640320.

The previous prime is 211416614053. The next prime is 211416614141.

211416614112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211416614112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100101508 + ... + 100103619.

It is an arithmetic number, because the mean of its divisors is an integer number (12612923064).

Almost surely, 2^211416614112 is an apocalyptic number.

211416614112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211416614112 is an abundant number, since it is smaller than the sum of its proper divisors (394003692960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211416614112 is a wasteful number, since it uses less digits than its factorization.

211416614112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200205151 (or 200205143 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

It can be divided in two parts, 211416 and 614112, that added together give a palindrome (825528).

The spelling of 211416614112 in words is "two hundred eleven billion, four hundred sixteen million, six hundred fourteen thousand, one hundred twelve".